Exploration of the structure of the single-particle energy level in 198Ce by the complex momentum representation with Green's function method

In this paper, the significance and methods for investigating single-particle resonances and the significance of studying Ce are introduced. Furthermore, the theoretical framework of RMF-CMR-GF (the complex momentum representation method was combined with Green's function in the relativistic mean-field framework) method is also introduced. This paper focuses on the structure of the single-particle energy level in 198Ce, which contains the bound and resonant states. Moreover, the distribution of single-particle resonances in the complex momentum space, the corresponding energy-level density distribution of resonances, and the density of single-particle state distribution in coordinate space are investigated in detail, and the parameters related to resonances are confirmed to remain unchanged with the change in the integration path in the complex momentum space. In this paper, the energy-level density of resonances calculated using the RMF-CMR-GF method is obtained after subtracting the corresponding energy-level density of the background energy from the energy-level density corresponding to the total Hamiltonian. Meanwhile, the energy and width of resonances can be intuitively displayed through resonance peaks, and the parameters related to resonances become more accurate. Since the resonances near the Fermi surface play an important role in the occurrence of exotic phenomena, the density of these resonances is also calculated. The parameters of resonances obtained accurately in this paper are significant for further research on exotic phenomena.